221301102113 has 96 divisors (see below), whose sum is σ = 306515923200. Its totient is φ = 155469570048.

The previous prime is 221301102103. The next prime is 221301102203. The reversal of 221301102113 is 311201103122.

It is not a de Polignac number, because 221301102113 - 2¹² = 221301098017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221301102091 and 221301102100.

It is not an unprimeable number, because it can be changed into a prime (221301102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102786245 + ... + 102788397.

It is an arithmetic number, because the mean of its divisors is an integer number (3192874200).

Almost surely, 2^221301102113 is an apocalyptic number.

It is an amenable number.

221301102113 is a deficient number, since it is larger than the sum of its proper divisors (85214821087).

221301102113 is a wasteful number, since it uses less digits than its factorization.

221301102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221301102113 its reverse (311201103122), we get a palindrome (532502205235).

The spelling of 221301102113 in words is "two hundred twenty-one billion, three hundred one million, one hundred two thousand, one hundred thirteen".